Momentum and CollisionHard
Question
Two spheres A and B of masses m1 and m2 respectively collide. A is at rest initially and B is moving withvelocity v along x-axis. After collision B has a velocity
in a direction perpendicular to the originaldirection. The mass A moves after collision in the direction
in a direction perpendicular to the originaldirection. The mass A moves after collision in the directionOptions
A.θ = tan-1 (- 1/2) to the x-axis
B.same as that of B
C.opposite to that of B
D.θ = tan-1 (1/2)to the x-axis
Solution
m1v1 cos θ = m2v .....(i)
m1v1 sin θ = m2v/2 .....(ii) Before collision
Divide : (ii) by (i) tan θ =
⇒ θ = tan-1
...............

m1v1 sin θ = m2v/2 .....(ii) Before collision
Divide : (ii) by (i) tan θ =
⇒ θ = tan-1
...............

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